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Finding the Fourth Proportional to 503,300.12, 694,582.90 and 288,475.97

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Solution

The fourth proportional to 503,300.12, 694,582.90 and 288,475.97 is: 398,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,300.12 : 694,582.90 = 288,475.97 : x
  2. Step 2: Convert to fraction form
    503,300.12/694,582.90 = 288,475.97/x
  3. Step 3: Cross multiply
    503,300.12x = 694,582.90 × 288,475.97
  4. Step 4: Simplify right side
    503,300.12x = 200,370,471,628.81
  5. Step 5: Solve for x
    x = 200,370,471,628.81/503,300.12
  6. Step 6: Final answer
    x = 398,113.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.